Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
230 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 57 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#14556071 | C2 | semidirect |
| 2. C2×#14556069 | C2 | semidirect |
| 3. #17986235 | C2 | semidirect |
| 4. #17985803 | C2 | semidirect |
| 5. #17985800 | C2 | semidirect |
| 6. C22⋊(C71⋊C16) | C2 | semidirect |
| 7. C2×#135×C71 | C2 | semidirect |
| 39. Q16×C71 | D4 | semidirect |
| 42. D8×C71 | D4 | semidirect |
| 90. C71 | #2186 | semidirect |
| 91. C2×#135 | D71 | semidirect |
| 123. Q16 | C22⋊D71 | semidirect |
| 128. D8 | C22⋊D71 | semidirect |